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Asymptotics of solutions to a convection—diffusion equation on the half-line

Published online by Cambridge University Press:  11 July 2007

G. Karch
G. Karch
Affiliation:
Instytut Matematyczny, Uniwersytet Wroc lawski, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland (karch@math.uni.wroc.pl)
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Abstract

We study the behaviour, as t → ∞, of solutions to the convectiondiffusion equation on the half-line with the homogeneous Neumann boundary condition and with bounded initial data. The higher-order terms of the asymptotic expansion in Lp (R+) of solutions are derived.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 4 , August 2000 , pp. 837 - 853
Copyright
Copyright © Royal Society of Edinburgh 2001

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